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Finding the Fourth Proportional to 7,042.89, 9,718.01 and 4,211.42

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Solution

The fourth proportional to 7,042.89, 9,718.01 and 4,211.42 is: 5,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.89 : 9,718.01 = 4,211.42 : x
  2. Step 2: Convert to fraction form
    7,042.89/9,718.01 = 4,211.42/x
  3. Step 3: Cross multiply
    7,042.89x = 9,718.01 × 4,211.42
  4. Step 4: Simplify right side
    7,042.89x = 40,926,552.03
  5. Step 5: Solve for x
    x = 40,926,552.03/7,042.89
  6. Step 6: Final answer
    x = 5,811.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.